We present our transducer model on Librispeech. We study variants to include\nan external language model (LM) with shallow fusion and subtract an estimated\ninternal LM. This is justified by a Bayesian interpretation where the\ntransducer model prior is given by the estimated internal LM. The subtraction\nof the internal LM gives us over 14% relative improvement over normal shallow\nfusion. Our transducer has a separate probability distribution for the\nnon-blank labels which allows for easier combination with the external LM, and\neasier estimation of the internal LM. We additionally take care of including\nthe end-of-sentence (EOS) probability of the external LM in the last blank\nprobability which further improves the performance. All our code and setups are\npublished.\n
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